Nonconservative Stability Problems of Modern Physics / / Oleg N. Kirillov.

• Superior document: Title is part of eBook package: De Gruyter DG Ebook Package English 2021
• VerfasserIn: Kirillov, Oleg N.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2021]; ©2021
• Year of Publication: 2021
• Edition: 2. rev. and exten. edition
• Language: English
• Series: De Gruyter Studies in Mathematical Physics , 14
• Physical Description: 1 online resource (XX, 528 p.)
• Other title: Frontmatter --; Preface --; Preface to the second edition --; Contents --; 1 Introduction --; 2 Lyapunov stability and linear stability analysis --; 3 Hamiltonian and gyroscopic systems --; 4 Reversible and circulatory systems --; 5 Influence of structure of forces on stability --; 6 Dissipation-induced instabilities --; 7 Nonself-adjoint boundary eigenvalue problems for differential operators and operator matrices dependent on parameters --; 8 The destabilization paradox in continuous circulatory systems --; 9 The MHD kinematic mean field α2-dynamo --; 10 Campbell diagrams of gyroscopic continua and subcritical friction-induced flutter --; 11 Non-Hermitian perturbation of Hermitian matrices with physical applications --; 12 Double-diffusive instabilities in hydro- and magnetohydrodynamics --; Bibliography --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110655407; 9783110750720; 9783110750706; 9783110754001; 9783110753776; 9783110754162; 9783110753936
• ISSN: 2194-3532
• DOI: 10.1515/9783110655407
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Oleg N. Kirillov.

This updated revision gives a complete and topical overview on Nonconservative Stability which is essential for many areas of science and technology ranging from particles trapping in optical tweezers and dynamics of subcellular structures to dissipative and radiative instabilities in fluid mechanics, astrophysics and celestial mechanics. The author presents relevant mathematical concepts as well as rigorous stability results and numerous classical and contemporary examples from non-conservative mechanics and non-Hermitian physics. New coverage of ponderomotive magnetism, experimental detection of Ziegler’s destabilization phenomenon and theory of double-diffusive instabilities in magnetohydrodynamics.